Answers
Answer:
c = s + 4
Step-by-step explanation:
We have given the Sal's and Carrie's ages. We need to represents the table below using equation.
Sal = 3 5 8 13 15
Carrie = 7 9 12 17 19
Out of given options, equation (3) should be followed. We can proof it as :
c = s + 4
Putting one by one the ages of Sal in the above equation to get Carrie's age.
1. c = 3 + 4 = 7
2. c = 5 + 4 = 9
3. c = 8 + 4 = 12
4. c = 13 + 4 = 17
5. c = 15 + 4 = 19
Hence, the correct option is (c).
Related Questions
Which expression represents the phrase "half the sum of 10 and a number"
Answers
i know this is very late but for future people its
1/2 (10 + x)
Convert 9.46 x 10^12 to expanded form
Answers
If cot= 2/3 what is the value of Csc
Answers
Tan= opposite over adjacent. So 3/2
This means the hypotenuse is square root of 13
Csc is inverse sin
Sin = opposite \ Hypotenuse
Sin = 3/Square root of 13
Csc = square root of 13/ 3
Complete the steps to the factor the tens. 30x40=( n x 10) x ( n x 10)=( n x n) x (10 x10)= n x 100 = n
Answers
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 7.
y=15 when x=6
Answers
To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We can find the value of k by substituting the given values into the equation. Once we have the value of k, we can write the direct variation equation that relates x and y. Finally, we can find the value of y for a given value of x by substituting it into the equation.
Explanation:To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We are given that y = 15 when x = 6. To find k, we can substitute these values into the equation:
15 = k * 6
To find the value of k, we divide both sides by 6:
k = 15/6 = 2.5
Now we can write the direct variation equation that relates x and y:
y = 2.5x
To find the value of y when x = 7, we substitute x = 7 into the equation:
y = 2.5 * 7 = 17.5
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What did the math teacher say after spending 8 hours in the ice and snow worksheet answer key?
Answers
Given the question 'A set of 8 desert dishes costs $20. What was the cost of eah dish?'
Let the cost of each dish be x, then
8x = 20
x = 20 / 8 = 2.5
Therefore, the cost of each dish is $2.5
Part 2
Given the question 'Ben and Jerry together owns 24 comic books. If Ben owns 6 comic books, how many does Jerry own?'
Let the number of comic books owned by Jerry be x, then
x + 6 = 24
x = 24 - 6 = 18
Therefore, Jerry owns 18 comic books.
Part 3.
Given the question: 'Hans Klobber sells vaccum cleaners. He gets to keep one eighth of his sales as commission. How much must he sell in order to earn $1,000?'
Let the amount of sales required to earn $1,000 be x, then
1/8 (x) = $1,000
x = 8 times $1,000 = $8,000
Therefore, the amount of sale he must make to earn $1,000 is $8,000.
Part 4.
Given the question: 'On first down, a football team lost 8 yd. After 2 downs, the team had an overall gain of 20 yd. How many yards were gained on secong down?'
Let the number of yards gained on second down be x, then
-8 + x = 20
x = 20 + 8 = 28
Therefore, the number of yards gained on second down is 28 yards.
Part 5.
Given the question: 'After she wrote a check of $240, May Bounce had a balance in her checking account of -$6. What was her balance before she wrote the check?'
Let her balance before she wrote the check be x, then
x - 240 = -6
x = -6 + 240 = 234
Therefore, the balance in her checking account before she wrote the check was $234.
Part 6.
A bank of 8 floodlights together use 1,000 watts of power. How much power is used by each bulb?
Let the amount of power used by each bulb be x, then
8x = 1,000
x = 1,000 / 8 = 125
Therefore, the amount of power used by each bulb is 125 watts.
Part 7.
Given the question: 'Between noon and midnight, the temperature dropped 20°F. If the temperature was -8°F at midnight, what was the temperature at noon?'
Let the temperature at noon be x, then
x - 20 = -8
x = -8 + 20 = 12
Therefore, the temperature at noon was 12°F.
Part 8
Given the question 'If a strawberry pie is divided into 6 equal slice, each slice has 240 calories. How many calories are in the whole pie?'
Let the number of calories in the whole pie be x, then
1/6 (x) = 240
x = 240 times 6 = 1,440
Therefore, the number of calories in the whole pue is 1,440 calories.
Part 9.
Given the question: 'A chest was resting on the ocean floor 1000 ft below the surface. It was lifted to the deck of a ship 8ft above the surface. How far was the chest lifted?'
Let the distance the chest was lifted be x, then
-1,000 + x = 8
x = 8 + 1,000 = 1,008
Therefore, the distance the chest was lifted is 1,008 ft.
Part 10
Given the question: 'When all the kids who tried out for Little League were divided into teams of 20 players, there were exactly 8 teams. How many teams tried out?'
Let the number of kids that tried out be x, then
1/20 (x) = 8
x = 20 times 8 = 160.
Therefore, the number of kids that tried out was 160 kids.
Logan has a change jar that contains only pennies and nickels. he has 64 coins which add up to a total of $1.52. how many of each type of coin does he have?
Answers
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.
Answers
3x(x-12x) + 3x^2 - 2(x-2)^2
First, we will expand the power 2 bracket as follows:
3x(x-12x) + 3x^2 - 2(x^2 - 4x +4)
Then, we will get rid of the brackets as follows:
3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8
Now, we will gather the like terms and add them as follows:
-32 x^2 + 8x - 8
We can take the 8 as a common factor:
8 ( -4x^2 + x -1)
Answer:
It's option
A) the term...
C) after multiplying
D) the parentheses
Step-by-step explanation:
EDG2021
Which trigonometric ratios are correct for triangle ABC? Check all that apply
Answers
Let
OPP denote the length of the side opposite to M,
ADJ denote the length of the side adjacent to M, and
HYP denote the hypotenuse.
then:
Sin(M) = OPP/HYP
Cos(M)= ADJ/HYPP
Tan(M)=OPP/ADJ
Back to our problem,
using the Pythagorean we can find the length of AB:
[tex]|AB|^2+|AC|^2=|BC|^2\\\\|AB|^2+9^2=18^2\\\\|AB|^2=18^2-9^2\\\\|AB|^2=(18-9)(18+9)=9 \cdot 27=9 \cdot 9 \cdot3\\\\|AB|=9 \sqrt{3} [/tex]
[tex]Sin(C)= \frac{OPP}{HYP}=\frac{9 \sqrt{3} }{18}= \frac{ \sqrt{3} }{2}[/tex]
[tex]Cos(B)= \frac{ADJ}{HYP}= \frac{9 \sqrt{3}}{18}= \frac{ \sqrt{3}}{2} [/tex]
[tex]Tan(C)= \frac{OPP}{ADJ}= \frac{9 \sqrt{3} }{9}= \sqrt{3} [/tex]
[tex]Sin(B)= \frac{OPP}{HYP}= \frac{9}{18}= \frac{1}{2} [/tex]
[tex]Tan(B)= \frac{OPP}{ADJ}= \frac{9}{9 \sqrt{3}}= \frac{1}{ \sqrt{3} }= \frac{ \sqrt{3}}{3} [/tex]
Answer: 1, 3, 4
A jet travels 500 miles in 2 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet? PLEASEEE HELP
Answers
There are 4 teams in a basketball league. Each team plays each of the other teams three times. How many games are played?
Answers
each team plays 9 games
( Team 1 plays team 2 3 times, team 3 3 times, team 4 3 times )
9 x 4 = 36 games total
How can I evaluate this question?
Answers
[tex]\bf \\\\\\ \begin{cases} x^2\cdot x^{\frac{1}{3}}+3x^3-4x^2\\\\ -2x^{-\frac{1}{2}}\cdot x^{\frac{1}{3}}-2x^{-\frac{1}{2}}\cdot 3x+2x^{-\frac{1}{2}}\cdot 4\\\\ +x^{\frac{1}{3}}+3x-4 \end{cases} \\\\\\ \begin{cases} x^{2+\frac{1}{3}}+3x^3-4x^2\\\\ -2x^{-\frac{1}{2}+\frac{1}{3}}-6x^{-\frac{1}{2}+1}+8x^{-\frac{1}{2}}\\\\ +x^{\frac{1}{3}}+3x-4 \end{cases}[/tex]
[tex]\bf x^{\frac{7}{3}}+3x^3-4x^2-2x^{-\frac{1}{6}}-6x^{\frac{1}{2}}+8x^{-\frac{1}{2}}+x^{\frac{1}{3}}+3x-4 \\\\\\ \sqrt[3]{x^7}+3x^3-4x^2-\cfrac{2}{x^{\frac{1}{6}}}-6\sqrt{x}+\cfrac{8}{x^{\frac{1}{2}}}+\sqrt[3]{x}+3x-4 \\\\\\ x^2\sqrt[3]{x}+3x^3-4x^2-\cfrac{2}{\sqrt[6]{x}}-6\sqrt{x}+\cfrac{8}{\sqrt{x}}+\sqrt[3]{x}+3x-4[/tex]
PLEASE HELP?
Caitlin Grasso is a salesperson in the kitchen and bath department at Morris Supplies, Inc. She makes 5.5% straight commission on her total sales. What were her total week's sales, if her gross pay was $560?
A. $10,741.82
B. $3,640.00
C. $3,080.00
D. $10,181.82
Answers
1% = 560 / 5.5
100% = 100(560/5.5) = 10,181.82
*rounded
Hope this helps? :)
Answer:
D
Step-by-step explanation:
If her pay is $560, her sales is "something" whose 5.5% is 560.
We can setup the equation below and solve (let total sales be [tex]s[/tex]):
[tex](0.055)(s)=560\\0.055s=560\\s=\frac{560}{0.055}\\s=10,181.82[/tex]
Answer choice D is right.
Jon places a dot on a coordinate plane at (-10, -4). He wants to place another dot across the y axis, and it must be 14 points away. Where will Jon place the other dot?
Answers
The coordinates of the other dot across the y-axis will be located at (4,-4).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
Since the first value corresponds to the horizontal x-coordinate and the second to the vertical y-coordinate, moving horizontally across the y-axis is the result. As a result, you need to multiply the x-coordinate by 14. Since the direction of your first x-coordinate, -10, is positive, you must add. the solution is (4,-4).
Thus, the coordinates of another dot across the y-axis will be located at (4,-4).
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To which set of numbers does the number -12 belong?
Answers
integers are like -4,-3,-2,-1,0,1,2,3,4 etc
rational numbers are number that can be written in form a/b where a and b are integers and b≠0
real numbes include rational numbers
so integers, rational number and real numbers
Mrs marks has 3/4 pound of cheese to use making sandwiches she uses about 1/32 pound of cheese on each sandwich how many sandwiches can she make with the cheese she has?
Answers
3/4 * 32/1 = 24....so she can make 24 sandwiches
I flip a fair coin four times what is the probability that i get more heads than tails
Answers
What is the answer for this problem
Answers
9 + 3 x 13 =
9 + 39 = 48
3x13=39
39+9=48
You are ordering a hamburger and can get up to 8 toppings, but each topping can only be used once. you tell the cashier to surprise you with the toppings you get. what is the probability that you get 2 toppings? express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
The probability of getting 2 toppings on the hamburger is 1/28 or approximately 0.0357.
Explanation:To calculate the probability of getting exactly 2 toppings on your hamburger, we need to consider the total number of possible combinations of toppings and the number of ways to choose 2 toppings out of those combinations.
There are 8 toppings in total, so the total number of possible combinations is 8 choose 2, which is calculated as 8! / (2! * (8-2)!), or 28.
Since you want exactly 2 toppings, the probability is the number of ways to choose 2 toppings out of the total combinations divided by the total number of possible combinations, which is 1/28 or approximately 0.0357 (rounded to four decimal places).
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Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.
falls with a constant speed of -10 m/s.
falls with a acceleration of -10 m/s/s
falls under the sole influence of gravity
falls with downward acceleration which has a constant magnitude
Answers
The statement which is NOT true among the given options is the first option - falls with a constant speed of -10 m/s.
In order to the determine which of the statements is NOT true, we will study each of the options one after the other.
For the first option - "falls with a constant speed of -10 m/s"When an object is in a state of free fall, the speed is not constant. The speed actually increases as it moves closer to the ground.
∴ The first option is NOT true
For the second option - "falls with a acceleration of -10 m/s/s"An object that is falling freely, falls under the influence of gravity. Acceleration due to gravity is approximately 10 m/s/s (10m/s²).
Therefore, an object in a state of free fall, falls with an acceleration of -10 m/s/s (The negative sign indicates deceleration, because the object is moving towards the ground).
∴The second option is true
For the third option - falls under the sole influence of gravityAs stated earlier, an object in a state of free fall, falls under the influence of gravity.
∴ The third option is true
For the fourth option - "falls with downward acceleration which has a constant magnitude"
As stated earlier, an object in a state of free fall, falls under the influence of gravity and acceleration due to gravity is approximately 10 m/s/s (10m/s²). This value is constant.
∴ The fourth option is true
Hence, the statement which is NOT true among the given options is the first option, falls with a constant speed of -10 m/s
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what numbers are divisible by 7?
a.75 b.35 c.20 d.30
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Thanks (;
What is the length of HN
Answers
hn is half the total length
38/2 = 19
40% of a 12,000 acre forest is being logged how many acres will be logged
Answers
12000 - 4800 = 7200
7200 acres are being logged
hope this helps
0.40 (12,000) = 4,800
answer
4,800 acre is 40% of a 12,000 acre
Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. the boat sold for how much?
Answers
$250 is discounted into $212.50 what is the percent decrease
Answers
250 - 15% = 212.50
Plane A leaves Tulsa at 2:00 p.m., averaging 300 mph and flying in a northerly direction. Plane B leaves Tulsa at 2:30 p.m., averaging 225 mph and flying due east. At 5:00 p.m., how far apart will the planes be?
Answers
Answer 1061
Step-by-step explanation:
Answer:
At 5:00 p.m. the planes will be [tex]1061.323[/tex] miles apart.
Step-by-step explanation:
To solve this problem, I add a picture of the situation.
We know that speed is distance over time ⇒
[tex]Speed=\frac{distance}{time}[/tex] (I)
The first step to solve this exercise is to graph the situation. We can draw a right triangle which vertices will be ''Tulsa'', and the planes ''A'' and ''B'' at 5:00 p.m.
In order to know the measures of the sides, we are going to calculate them using the equation (I)
Plane A leaves Tulsa at 2:00 p.m.
Therefore, at 5:00 p.m. it will have flown 3 hours ⇒
[tex]300\frac{mi}{h}=\frac{distance}{3h}[/tex] ⇒
[tex]distance=(300\frac{mi}{h}).(3h)[/tex]
[tex]distance=900mi[/tex]
At 5:00 p.m. the distance from the plane A to Tulsa is 900 mi
Plane B leaves Tulsa at 2:30 p.m.
Therefore, at 5:00 p.m. it will have flown 2.5 hours ⇒
[tex]225\frac{mi}{h}=\frac{distance}{2.5h}[/tex]
[tex]distance=(225\frac{mi}{h}).(2.5h)[/tex]
[tex]distance=562.5mi[/tex]
At 5:00 p.m. the distance from the plane B to Tulsa is 562.5 mi
Finally, we can find the distance between the plane A and the plane B using the Pythagorean theorem :
[tex](900mi)^{2}+(562.5mi)^{2}=(Distance_{A-B})^{2}[/tex]
[tex]810000mi^{2}+316406.25mi^{2}=(Distance_{A-B})^{2}[/tex]
[tex](Distance_{A-B})^{2}=1126406.25mi^{2}[/tex]
[tex]Distance_{A-B}=\sqrt{1126406.25mi^{2}}[/tex]
[tex]Distance_{A-B}=1061.322877mi[/tex] ≅ [tex]1061.323mi[/tex]
At 5:00 p.m. the planes will be 1061.323 miles apart.
(01.02) given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point) −15 −8 10 25
Answers
f(x) = 2x + 5 and g(x) = x − 7
f(g(-3))=f (-3-7) =f(-10) = 2(-10)+5 = -20+5 = -15
NEED HELP ASAP!!!!!!!
Solve the equation.
e² = 0.36
Enter your answer in the box.
e = ±
Answers
Answer:
0.6
Step-by-step explanation:
took the test
PLZ PLZ HELP
Which graph represents the solution set of the system of inequalities?
{y<2/3xy≥−x+2
Answers
It is the third one on the graph.
Answer:
it was the 3rd one. i took the test :)
Two angles of a triangle have the same measure and the third one is 39 degrees greater than the measure of each of the other two. find the measure of the largest angle in the triangle.
Answers
Answer:
Step-by-step explanation:
By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180. If two of the angles are the same, then we will call them x. The third one is 39 more than the measure of each of the other angles, so the third angle measures x + 39. In equation form,
x + x + x + 39 = 180 and
3x + 39 = 180 and
3x = 141 so
x = 47
That means that the largest angle measures 47 + 39 which is 86